Results 11 to 20 of about 15,655 (167)
Buildings, 2023 A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
doaj +1 more source
Abstract and Applied Analysis, 2012 The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
doaj +1 more source
Results in Physics, 2018 The present study addresses the three-dimensional flow and nonlinear radiative heat transfer of an Oldroyd-B nanofluid flow over a stretching surface with the addition effects of uniform heat source/sink and convective boundary conditions.
B.J. Gireesha +3 more
doaj +1 more source
Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Abstract and Applied Analysis, 2013 The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül +2 more
doaj +1 more source
Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2015 The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions
N. A. Kudryashov
doaj +1 more source
Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems
Advances in Mathematical Physics, 2013 We investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations.
P. G. Dlamini, S. S. Motsa, M. Khumalo
doaj +1 more source
Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics, 2021 By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional ...
Chao Yue +3 more
doaj +1 more source
MathematicsA geometric-analytic approach to studying invariants of solvable nonlinear ordinary differential equations is developed. In particular, there is described in detail a general scheme of constructing solvable nonlinear ordinary differential equations ...
Anatolij K. Prykarpatski +4 more
doaj +1 more source
Nonlinear Spectra for Parameter Dependent Ordinary Differential Equations
Nonlinear Analysis, 2007 Eigenvalue problems of the form x 00 = −λf(x) + µg(x), (i), x(0) = 0, x(1) = 0 (ii) are considered. We are looking for (λ, µ) such that the problem (i), (ii) has a nontrivial solution.
F. Sadyrbaev, A. Gritsans
doaj +1 more source
A boundary value problem for nonlinear differential equation with arbitrary functions
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 This article describes a semi-batch nonlinear boundary value problem for differential equations with partial derivatives. The equations containing arbitrary parameters were considered in Whitham G.B.
N. T. Orumbayeva, G. Sabitbekova
doaj +1 more source